A Timing Comparison Study for Some High Order Finite Element Approximation Procedures and a Low Order Finite Difference Approximation Procedure for the Numerical Solution of the Multigroup Neutron Diffusion Equation
- 1 September 1972
- journal article
- research article
- Published by Taylor & Francis in Nuclear Science and Engineering
- Vol. 49 (1) , 27-48
- https://doi.org/10.13182/NSE72-A22525
Abstract
This paper contains the results of detailed comparison studies of the efficiency of high order finite element approximations vs low order finite difference approximations, for the numerical solution of the static multigroup diffusion equation in two dimensions. The comparisons are based on the execution times for a keff calculation with a prescribed precision for two particular computer programs— HOD (finite elements) and DARC2D (finite differences). The calculations were performed for three different types of reactor configurations: a simple two-zone configuration with two energy groups, a multizone configuration [1000-MW(e) LMFBR mockup] with four energy groups, and a loosely coupled configuration with two energy groups. The conclusions are:Keywords
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